Publicly Offered Research
Grant-in-Aid for Scientific Research on Innovative Areas (Research in a proposed research area)
I will focus on the investigation of topological mismatches (disclinations) caused by kinks by employing tools from solid mechanics and calculus of variations with the goal of elucidating the overall effect of kinks and disclinations on the materials strengthening.
Developed a numerical code based on the Finite Element Method for a micro-plasticity model of metal alloys (elastic crystals). Computed numerical solutions to uniaxial traction tests of rectangular structures with square or hexagonal lattice symmetries. Discovered that kinks emerge due to interplay of structural vs. material instabilities and kink morphologies strongly depend on lattice symmetry and aspect ratio. Developed an analytical theory to describe self-similar microstructures in elastic crystals as the solutions to differential inclusion problems in non-linear elasticity. As an application, obtained exact constructions and energy estimates of elastic deformations causing disclinations. Developed the first mathematically rigorous theory for the modeling of planar wedge disclinations by characterizing the Gamma-limits of a discrete model on the triangular lattice. Computed energies and lattice displacements causing disclination and analyzed their behavior as the lattice spacing vanishes, thus characterizing the energetics of large samples with disclinations. Computed exact solutions to a fourth order model for surface diffusion and obtained exact effective energies in soft polymers with low order states.
令和2年度が最終年度であるため、記入しない。
All 2021 2020 2019 Other
All Int'l Joint Research (2 results) Journal Article (4 results) (of which Int'l Joint Research: 4 results, Peer Reviewed: 4 results, Open Access: 4 results) Presentation (13 results) (of which Int'l Joint Research: 1 results, Invited: 10 results) Funded Workshop (1 results)
ESAIM: Control, Optimisation and Calculus of Variations
Volume: 27 Pages: 23-23
10.1051/cocv/2021025
Physica D: Nonlinear Phenomena
Volume: 405 Pages: 132288-132288
10.1016/j.physd.2019.132288
Archive for Rational Mechanics and Analysis
Volume: 237 Issue: 1 Pages: 383-445
10.1007/s00205-020-01511-9
Volume: -
